If x number of tickets and y is the number of people (5000)
75x=5000
5000\75= 66.66 repeat
so x equals 66.66
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Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
(x-3)^2 + (x+5)^2=9^2
(x^2-6x+9) + (x^2+10x+25)=81
2x^2+4x+34=81
2x^2+4x-47=0
From here just use quadratic formula
One thing you could do is to expand either a factor of
or
, then expand the integrand. I'll do the first.
You have
which means the integral is equivalent to
Substitute
, so that
. This makes it so that the integral above can be rewritten in terms of
as
Now just use the power rule:
Back-substitute to get the antiderivative back in terms of
:
F(x) = 2x² - 2x + 7
g(x) = x² + 9x - 6
f(x) - g(x) = 2x² - 2x + 7 - (x² + 9x - 6)
= 2x² - 2x + 7 - x² - 9x + 6
= 2x² - x² - 2x - 9x + 7 + 6
= x² - 11x + 13
The 1st option.
